Noyce Foundation
The Wheel Shop
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...
101 Questions
Basketball Shots
Shoot for greater understanding of systems. Pupils watch a short video of a man attempting basketball shots, both one-point free throws and two-point field goals. Given the total number of shots and total number of points made, viewers...
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
It's About Time
Impact Events and the Earth System
What would happen to Earth if an asteroid struck it? Assist young scientists as they explore the mechanics of an impact event and effects caused by it; calculate the energy released once an asteroid strikes Earth's surface; and compare...
Serendip
Using Models to Understand Photosynthesis
Is your class in the dark about photosynthesis? Shed some sunlight on an important biological process with a thoughtful activity. After answering questions to help determine their level of knowledge, learners work with chemical equations...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
101 Questions
Potatoes
Between 2000 and 2017, the cost of potatoes more than doubled in the United States. Pupils use the total cost of two types of potatoes to solve for the number of pounds of each type of potato. Then, they determine if the kitchen scale...
101 Questions
Stacking Cups
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. For this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Curated OER
Cash Box
Solving systems of equations with a twist! If you are looking for something out of the ordinary, then this is the problem for you. In this scenario, some money is found on the ground and you need to determine if it belongs in the cash...
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
Teach Engineering
Tippy Tap Plus Piping
Getting water to a tap requires an understanding the fundamentals of fluid flow. Groups design, build, and test a piping system to get water from the source — a five gallon bucket — to a tippy tap. The objective is to be able to fill...
Colorado State University
If You Can't Predict the Weather, How Can You Predict the Climate?
Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...
American Chemical Society
Entropy and Enthalpy Changes
My room isn't messy — it's a scientific experiment in entropy! Scholars investigate entropy, enthalpy, and spontaneity through a guided procedure and set of questions. The lesson connects the Second Law of Thermodynamics, energy transfer...
Illustrative Mathematics
Quinoa Pasta 1
Here is a great opportunity to introduce your mathematicians to a food they may never have heard of, quinoa. It may help to show a short video on quinoa, or make some quinoa for the class to try. Once they get over how to say quinoa,...
101 Questions
CoinStar
Would you rather have a bowl of dimes or a bowl of quarters? A video introduces the problem by presenting two bowls, one full of quarters and another full of dimes. Learners use information from a CoinStar receipt to calculate the number...
PBL Pathways
Arsenic and Selenium Removal From Drinking Water at a Minimal Cost
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
PBL Pathways
Medical Insurance 2
Make an informed decision when choosing a medical insurance provider. An engaging lesson asks your classes to write piecewise models to represent the cost of different medical plans. The project-based learning activity is a variation of...
National Council of Teachers of Mathematics
Over the Hill
Can you hear me from there? Pupils determine the place to build a cell tower on a hill. The class uses constraints and creates a scale drawing on a coordinate system to calculate the exact location of the base of the cell tower.
Teach Engineering
Ice, Ice, PV!
Knowing the temperature coefficient allows for the calculation of voltage output at any temperature. Groups conduct an experiment to determine the effects of temperature on the power output of a solar panel. The teams alter the...
Noyce Foundation
On Balance
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
101 Questions
What Micheal’s Coupon Should You Use?
Get your classes on their way to extreme couponing! Young mathematicians analyze two different coupon options for the better deal. They use different scenarios to predict and compare the outcomes.
Howard County Schools
Planning for Prom
Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).
101 Questions
Two Lane Road
Two vehicles move at a constant rate of speed toward each other, but when exactly will they pass? Pupils use still images from a video to determine the rate of speed and when the two cars meet. Then, they watch the complete video to...
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